This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...

Check the latest SOF IMO 2025 syllabus and exam pattern for Classes 1 to 12. Know section-wise topics, marking scheme, and ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

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A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Artificial intelligence (AI) systems, particularly artificial neural networks, have proved to be highly promising tools for ...

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in Maths when we do not know the exact number in a calculation - this unknown ...

Abstract: The mathematical foundation of deep learning is the theorem that any continuous function can be approximated within any specified accuracy by using a neural network with certain non-linear ...